Self-similar characteristics of neural networks based on Fokker-Planck equation

DOI10.1016/S0960-0779(03)00388-6zbMath1122.82311MaRDI QIDQ1878048

Ikuo Matsuba, Yoshinobu Kamitani

Publication date: 19 August 2004

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Neural nets applied to problems in time-dependent statistical mechanics (82C32)

Related Items (4)

Analytical solution of space-time fractional Fokker-Planck equation by homotopy perturbation Sumudu transform method ⋮ Radial basis functions methods for solving Fokker-Planck equation ⋮ Robust stochastic stability and \(H_{\infty}\) performance for a class of uncertain impulsive stochastic systems ⋮ Fokker-Planck equation on metric graphs

Cites Work

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• Penrose tiling, semi-conduction and Cantorian \(1/f^ \alpha\) spectra in four and five dimensions
• The Fokker-Planck equation. Methods of solution and applications.
• The golden mean, scale free extension of real number system, fuzzy sets and \(1/f\) spectrum in physics and biology
• Renormalization group approach to earthquake scaling.
• Self-organized criticality

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